1452014128224 has 432 divisors, whose sum is σ = 4594455277776. Its totient is φ = 431362713600.

The previous prime is 1452014128193. The next prime is 1452014128231. The reversal of 1452014128224 is 4228214102541.

1452014128224 is a `hidden beast` number, since 1 + 4 + 520 + 1 + 4 + 128 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8022177414 + ... + 8022177594.

It is an arithmetic number, because the mean of its divisors is an integer number (10635313143).

Almost surely, 2^{1452014128224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1452014128224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297227638888).

1452014128224 is an abundant number, since it is smaller than the sum of its proper divisors (3142441149552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1452014128224 is a wasteful number, since it uses less digits than its factorization.

1452014128224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 1452014128224 in words is "one trillion, four hundred fifty-two billion, fourteen million, one hundred twenty-eight thousand, two hundred twenty-four".